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Finding the Fourth Proportional to 427,195.90, 640,851.45 and 146,799.10

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Solution

The fourth proportional to 427,195.90, 640,851.45 and 146,799.10 is: 220,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,195.90 : 640,851.45 = 146,799.10 : x
  2. Step 2: Convert to fraction form
    427,195.90/640,851.45 = 146,799.10/x
  3. Step 3: Cross multiply
    427,195.90x = 640,851.45 × 146,799.10
  4. Step 4: Simplify right side
    427,195.90x = 94,076,416,093.70
  5. Step 5: Solve for x
    x = 94,076,416,093.70/427,195.90
  6. Step 6: Final answer
    x = 220,218.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.